lecture410

# lecture410 - rate at which work is done by non-conservative...

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ME 563 Mechanical Vibrations Lecture #4 Energy/Power Method for Single Degree of Freedom Systems

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Motivation for Energy Method 1 What did all of these Newton-Euler examples have in common? K1 x B f(t) K2 C2 x 2 F1 F2 F1 F2 K2 x 2 F3 M1 g M2 g A B
Ideal Forces of Constraint 2 There are forces of constraint that need not be considered. What if the disc slips?. .. Friction force, f, does work

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Projection Mechanics 3 What if we project the equations of motion onto the trajectory of the vibrating system?
First Law of Thermodynamics 4 Rate of change in kinetic and potential energy is equal to the

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Unformatted text preview: rate at which work is done by non-conservative forces (dampers, f(t)): First Law of Thermodynamics 5 First Law of Thermodynamics 6 What if a viscous damper is present? C Sprung Lever Example 7 K L L/2 P A B M, Icm x B Merit of Energy Methods 8 Energy methods are especially useful when there are many ideal constraints (pins, gears, rolling surfaces, etc.): R 1 , I cm1 R 2 , I cm2 f(t) M 3 K 3 K 2 Merit of Energy Methods 9 Applying Newton-Euler methods would require many equations and much algebra to eliminate constraints…but...
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lecture410 - rate at which work is done by non-conservative...

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